接触元流形的维克型变形量子化

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-03-07 DOI:10.1007/s11005-024-01787-y

Boris M. Elfimov, Alexey A. Sharapov

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引用次数: 0

摘要

我们构建了接触元流形的威克型变形量子化。这种构造是完全规范的，不涉及任意选择。与交错流形或泊松流形的情况不同，由于量子化可能存在的障碍，一般接触元流形上的经典观测值并不能全部提升为量子观测值。然而，我们证明，对于萨萨基流形，所有这些障碍都会消失。

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Wick-type deformation quantization of contact metric manifolds

We construct a Wick-type deformation quantization of contact metric manifolds. The construction is fully canonical and involves no arbitrary choice. Unlike the case of symplectic or Poisson manifolds, not every classical observable on a general contact metric manifold can be promoted to a quantum one due to possible obstructions to quantization. We prove, however, that all these obstructions disappear for Sasakian manifolds.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.